Question

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)). (1 points)
Question 9 options:
1) -9x + 27
2) -9x + 25
3) -9x + 5
4) -9x - 2

Answer 1

\[\large \color{royalblue}{g(x)=-x+3}\]\[\large f\left[\color{orangered}{x}\right]=9\color{orangered}{x}-2\]

So we have a composition of functions.
We want to plug our function g(x) into f.

\[\large f\left[\color{royalblue}{g(x)}\right]=9\color{royalblue}{g(x)}-2\]Plugging in our g(x) gives us,\[\large f\left[\color{royalblue}{g(x)}\right]=9\color{royalblue}{(-x+3)}-2\]Do you think you can simplify it from there?
Lemme know if you have any questions.

Answer 2

thanks its b i also i have 2 more questions Let f(x) = x - 3 and g(x) = x + 11. Find f(x) • g(x). (1 points)
Question 4 options:
1) x2 - 8x - 33
2) x2 - 8x + 14
3) x2 + 8x + 14
4) x2 + 8x - 33

Answer 3

Let f(x) = x2 + 3x - 4 and g(x) = x + 5. Find f(x) • g(x). (1 points)
Question 5 options:
1) x3 + 3x2 + 16x - 20
2) x3 + 5x2 + 14x - 20
3) x3 + 8x2 + 11x - 20
4) x3 + 9x2 + 19x - 20